L-Functions and Galois Representations

by Burns, David Buzzard, Kevin Nekovář, Jan

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Title Statements

Full title :L-Functions and Galois Representations / edited by David Burns, Kevin Buzzard, Jan Nekovář.

Summary

This collection of survey and research articles brings together topics at the forefront of the theory of L-functions and Galois representations . Highlighting important progress in areas such as the local Langlands programme, automorphic forms and Selmer groups, this timely volume treats some of the most exciting recent developments in the field. Included are survey articles from Khare on Serre's conjecture, Yafaev on the André-Oort conjecture, Emerton on his theory of Jacquet functors, Venjakob on non-commutative Iwasawa theory and Vigneras on mod p representations of GL(2) over p-adic fields. There are also research articles by: Böckle, Buzzard, Cornut and Vatsal, Diamond, Hida, Kurihara and R. Pollack, Kisin, Nekovář, and Bertolini, Darmon and Dasgupta. Presenting the very latest research on L-functions and Galois representations, this volume is indispensable for researchers in algebraic number theory.

Edition Statements

Publication Date:2008.

Publication Statements

Publisher(s):Cambridge University Press
Place of Publication:Cambridge
Language:eng
Publication Date:2008.

Notes

Inspired by a London Mathematical Society symposium held at the University of Durham on 19-20 July, 2004.

Title from publishers bibliographic system (viewed on 13 Sep 2011).

The Physical Object

Description:online resource (xi, 563 s.) : : illustrations

Edition Identifiers

ISBN:9780511721267, 0511721269
oclc:ocn938914593
Dewey Decimal:512.73

Stark-Heegner points and special values of L-series -- Presentations of universal deformation rings -- Eigenvarieties -- Nontriviality of Rankin-Selberg L-functions and CM points -- A correspondence between representations of local Galois groups and Lie-type groups -- Non-vanishing modulo p of Hecke L-values and application -- Serre's modularity conjecture: a survey of the level one case -- Two p-adic L-functions and rational points on elliptic curves with supersingular reduction -- From the Birch and Swinnerton-Dyer Conjecture to non-commutative Iwasawa theory via the Equivariant Tamagawa Number Conjecture -- a survey -- The André-Oort conjecture -- a survey -- Locally analytic representation theory of p-adic reductive groups: a summary of some recent developments -- Modularity for some geometric Galois representations -- with an appendix by Ofer Gabber -- The Euler system method for CM points on Shimura curves -- Représentations irréductibles de GL(2, F) modulo p.

Subjects

Algebraic fields Algebraic number theory Corps algébriques Fonctions L. Galois theory L-functions Nombres p-adiques p-adic numbers Talteori Théorie algébrique des nombres Théorie de Galois